GCF and LCM of 7 and 8
The greatest common factor and least common multiple of 7 and 8.
GCF of 7 and 8
1
LCM of 7 and 8
56
How it works
Break each number into its prime factors:
- 7 = 7
- 8 = 2³
The GCF (1) multiplies the primes both share, at the lowest power each appears. The LCM (56) multiplies every prime that appears in either number, at the highest power — which is also 7 × 8 ÷ 1 = 56.
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Frequently asked questions
What is the GCF of 7 and 8?+
The greatest common factor (GCF) of 7 and 8 is 1 — the largest number that divides both 7 and 8 with no remainder.
What is the LCM of 7 and 8?+
The least common multiple (LCM) of 7 and 8 is 56 — the smallest number that both 7 and 8 divide into. It equals 7 × 8 ÷ GCF = 56 ÷ 1 = 56.